Explain why you know that λ is a root of charL(x) if and only if Ker(λId-L)≠0

Q: Suppose there is no known formula for g(x) but we know that g (2) = - 1anc; g^ prime (x)= sqrt x^ 2…

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Q: a. Find the value of (k) that make fhe fimction contimuous at x = 0 3k -3 =0

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Q: From the table find f(0) using interpolating of Lagrange polynomial X -1 0 2 Y=f(x) 2 5 1 O -1 O o O…

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Q: 1. S ef = c f

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Q: If f(2) = cosh (In a), then f'(7) = %3D Your answer should be rounded to the nearest whole number if…

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Q: For which values of a does x + a = 0 have a solu­tion in Z5?

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Q: Let f(x) = (x2 + 3x)e .Find the value of c that satisfies the conclusion of Rolle's Theorem for f on…

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Q: Solve the following forr W=4xc for c %3D C = (Type an exact

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Q: consider this formula. z= y over x if z= 4.0 and y=6.0  express your answer to the tenths place

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Q: Find the modimum.rabe.f.change.of.f.( Sinxy ..P.(I,.0).and.the directiun.n whishuituernA

A: Maximum rate change

Q: find the nUmbers b such that the auerage due of f(x)2+6x-3x on the interval E LO,b) is equel to 3

A: Average value of function is given by taking the integral of the function over the interval and…

Q: The quadratic approximation at x = 1 to f(x) is Q\left(x\right)=10+3\left(x-1\right) 3 (x – 1) + 2(x…

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Q: If f(z) = cosh(In z“), then f' (7) = %3D %3D Your answer should be rounded to the nearest whole…

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Q: The antiderivative of fx), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property…

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Q: In deriving the three point formulas, we use Lagrange polynomial. L'o(x) at x = x, is (notice the…

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Q: Find the d. c. of T from definition.

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Q: Find an antiderivative of the given function. x^-5+1/6square root of x show all work

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Q: 2. k) Show that fe2) = function is analytic %3D t'+s for Rez 70.

A: Calculate the limit: lim∆z→0fz+∆z-fz∆z=lim∆z→0∫0∞e-tz+∆zt2+1dt-∫0∞e-tzt2+1dt∆z…

Q: Evaluate the bound of the error if the Trapezoidal rule applied to S (x)dx . Given that 5 k is…

A: Apply formula of trapezoidal error

Q: Prove that P(X = n) = 1. 00 %3D

A: Given that  We have to proof that  ∑nP(X=n) =1

Q: Use symmetry to evaluate the followingintegrals.

A: Given:∫-11 1-x dxIf f is an odd function f-x=-fx∫-aa fx dx=0If f is an even function f-x=fx∫-aafx…

Q: If G(x,y) is differentiable with respect to x and y then it is always possible to find the number…

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Q: Detemine the x-values at whìch, 9水)= 2xー 3xー+X メt,xE - スxナラメー3x underined. Evaluate the linit ac…

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Q: Find the length of the curve r (t) = 3ti + square root of 3t^3 k in [0,1]

A: Given r(t)=3ti+3t3kfirstly, we have to calculate derivative of r(t)r'(t)=3i+9t223t3kNow, let find…

Q: The psd of X(t) is given by [1+ @? for | @|<1 Sxx (@) otherwise Find the autocorrelation function.

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Q: 1. Find grad f for the given function below. Ax, y, z) = 5xy + 3yz – 4zx

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Q: The function z = x + xy + 2y + 3 is given, which of the following is extremum 2 point? (Note: there…

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Q: Find the least positive root of f(x)=x cosx-1 as shown in Figure Q1(c). (c) -4 -6 -8 +-10 Figure…

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Q: Which of the following is homogenous of smallest degree? x4+y4 A x-y B Vx-y x-y x+y D In x – In y

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Q: O Fined s where c is :-12-11=4 the ly Porbolic 7-2/4/2121

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Q: Let f(x) = Q[x] be a irr of prime degree p. If fr non-real roots then th

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Q: In deriving the three point formulas, we use Lagrange polynomial. L'o(x) at x = x, is (notice the…

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Q: Given, f(x;x) = * – 2xy + 2y on the ractange o Find out the absolute minimum and Maximum values foro…

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Q: The antiderivative of fix), denoted by FIX), exhibits an odd symmetry i.e., it satisfies the…

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Q: a. Find the value of (k) that make the fumction flk) = ,continuous atx = 0 +3k-3 x=0

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Q: Find the root within a given interval in the following function by secant method up to 5s (a) In x =…

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Q: ) Find the derivetine of the fnchiog h(x) = I sinhex-7x 4

A: h(x)=74sinh(2x)-7x2Differentiate w.r.t…

Q: Find the chara derieti'k palynow ral of f the aatrcx 2. 1)

A: Answer is mentioned below

Q: Q2 Find fr and fy for the following funetion: f(x,y) = + In(5x – 3y).

A: We find value of fx and fy of given function f(x,y)

Q: *find te general Souliton hor the XZP +YZq =XM

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Q: Find KCKT) if XC2) is given by: 3. XCZ) = (Z+1)(Z-1)

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Q: WD DY because ZX is a perpendicul WX = XY because of Theorem 12-8. Find the value of x to the…

A: Theorem: The perpendicular from the center of a circle to a chord bisects the chord.

Q: B) f(x) = x+3 (-6, 6<x<1 Is f cont. at x-6?

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Q: 5-Vx+25 limr→0

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Q: Sohe The esurhons -| :) dy Lと

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Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x³y? sin(xy)…

A: Given below clear explanation

Q: -x -e = luxe by Bisection Slove:.

A: To solve by using the bisection method.

Q: 3. Let f)=x+x+2x-1E2,lx). Then x= 1 is a root for r() of mmltiplicity 3D1 None 4 2

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Q: Find the linearization at x = a. f(x) = sin°(x), a = 4 (Use symbolic notation and fractions where…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.